189,120
189,120 is a composite number, even.
189,120 (one hundred eighty-nine thousand one hundred twenty) is an even 6-digit number. It is a composite number with 56 divisors, and factors as 2⁶ × 3 × 5 × 197. Its proper divisors sum to 414,384, more than the number itself, making it an abundant number. Written other ways, in hexadecimal, 0x2E2C0.
Interestingness
Properties
- Parity
- Even
- Digit count
- 6
- Digit sum
- 21
- Digit product
- 0
- Digital root
- 3
- Palindrome
- No
- Bit width
- 18 bits
- Reversed
- 21,981
- Recamán's sequence
- a(73,832) = 189,120
- Square (n²)
- 35,766,374,400
- Cube (n³)
- 6,764,136,726,528,000
- Divisor count
- 56
- σ(n) — sum of divisors
- 603,504
- φ(n) — Euler's totient
- 50,176
- Sum of prime factors
- 217
Primality
Prime factorization: 2 6 × 3 × 5 × 197
Divisors & multiples
Sums & aliquot sequence
Continued fraction of √n
√189,120 = [434; (1, 7, 3, 1, 1, 17, 5, 1, 1, 13, 22, 4, 2, 1, 1, 4, 1, 1, 4, 217, 4, 1, 1, 4, …)]
Period length 40 — the block in parentheses repeats forever.
Representations
- In words
- one hundred eighty-nine thousand one hundred twenty
- Ordinal
- 189120th
- Binary
- 101110001011000000
- Octal
- 561300
- Hexadecimal
- 0x2E2C0
- Base64
- AuLA
- One's complement
- 4,294,778,175 (32-bit)
- Scientific notation
- 1.8912 × 10⁵
- As a duration
- 189,120 s = 2 days, 4 hours, 32 minutes
As an angle
Historical numeral systems
- Babylonian (base 60)
- 𒌋𒌋𒌋𒌋𒌋𒁹𒁹 𒌋𒌋𒌋𒁹𒁹 ·
- Egyptian hieroglyphic
- 𓆐𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓂍𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓆼𓍢𓎆𓎆
- Greek (Milesian)
- ͵ρπθρκʹ
- Chinese
- 十八萬九千一百二十
- Chinese (financial)
- 壹拾捌萬玖仟壹佰貳拾
Also seen as
Goldbach's conjecture says every even integer greater than 2 is the sum of two primes. For 189120, here are decompositions:
- 53 + 189067 = 189120
- 59 + 189061 = 189120
- 79 + 189041 = 189120
- 101 + 189019 = 189120
- 103 + 189017 = 189120
- 109 + 189011 = 189120
- 137 + 188983 = 189120
- 163 + 188957 = 189120
Showing the first eight; more decompositions exist.
UTF-8 encoding: F0 AE 8B 80 (4 bytes).
As an unsigned 32-bit integer, this is the IPv4 address 0.2.226.192.
- Address
- 0.2.226.192
- Class
- reserved
- IPv4-mapped IPv6
- ::ffff:0.2.226.192
Unspecified address (0.0.0.0/8) — "this network" placeholder.
This number falls in the range of US utility patent numbers. If it's a patent, it would be issued as US 189,120 and was likely granted around 1875.
Patent numbers below 100,000 are excluded as too ambiguous; modern numbering currently reaches roughly 12.5 million.
The digit sequence 189120 first appears in π at position 977,895 of the decimal expansion (the 977,895ordinal-suffix:th digit after the integer 3).
Search range: the first 1,000,000 fractional digits of π. Any 6-digit-or-shorter string is virtually guaranteed to appear in there — the more interesting signal is the position.
Related reading
- Babylonian numerals — The base-60 cuneiform system that gave us 60 minutes, 60 seconds, and 360°.